# If the Circumference is 6 ft. What is the radius?

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We are given the circumference of a circle. We are asked to find the radius.

We will use the formula Circumference = 2pi(radius)

=> C=2pi(r)

=> Substitute 3.14 for pi, and 6 for C

=> 6 = 2(3.14)r

=> 6 = 6.28r

=> .955 =r

=> **The radius is approximately .96 ft.**

0.95

What we know:

- C= `2pir`
- C=6 ft
- `pi=3.14`

Combine first 2 equations.

- `6=2pir`

Divide `2pi` on both sides.

- `((6)/(2pi))=r`

Simplify

- r=`3/pi ft`

6=2`pi r`

`3/pi= r`

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First, divide the given circumference by 3.14 to get the diameter.

6/3.14=1.91

Second, Divide the answer by 2 to get the radius.

1.91/2 = .955

To find the radius of a circle using the given circumference we use the formula for finding Circumference.

**C=2pi(r)**

Using 3.14 for pi and 6 for the Circumference, we solve for r (radius).

6=2(3.14)r *(multiply 2 times pi)*

6=6.28r *(divide each side of the equal sign by 6.28)*

r≈.955 *(the result is that r is approximately .955)*

Rounding to the nearest hundredths place the radius is about .96 ft.